7895440 has 80 divisors (see below), whose sum is σ = 21927168. Its totient is φ = 2585088.

The previous prime is 7895387. The next prime is 7895441. The reversal of 7895440 is 445987.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 7895440.

It is not an unprimeable number, because it can be changed into a prime (7895441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12574 + ... + 13186.

Almost surely, 2^7895440 is an apocalyptic number.

7895440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10963584).

7895440 is an abundant number, since it is smaller than the sum of its proper divisors (14031728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7895440 is a wasteful number, since it uses less digits than its factorization.

7895440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 7895440 is about 2809.8825598235. The cubic root of 7895440 is about 199.1248427513.

The spelling of 7895440 in words is "seven million, eight hundred ninety-five thousand, four hundred forty".